Question

A small business owner budgets $2,200 to purchase candlesthe owner must purchase a minimum of 200 candles to maintain the discounted pricingif the owner pays $4.90 per candle to purchase small candles and $11.60 per candle to purchase large candleswhat is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?

Answer 1

The maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing is 182.

What is the largest number of candles?

To stay within the budget and maintain the discounted pricing, we would follow these steps to arrive at the maximum number of large candles;

Apply distribution law as follows;

11.6 * x + 4.9 * (200 - x) = 2200

11.6x + 980 - 4.9x = 2200

6.7x + 980 = 2200

6.7x = 2200 - 980

6.7x = 1220

x = 1220/6.7

x = 182

So, to maintain the balance in the business, the business owner has to buy 182 maximum number of large candles.